Asymptotic invariants of base loci

Lawrence Ein; Robert Lazarsfeld; Mircea Mustaţǎ; Michael Nakamaye; Mihnea Popa

doi:10.5802/aif.2225

Asymptotic invariants of base loci

Lawrence Ein
, Robert Lazarsfeld
, Mircea Mustaţǎ
, Michael Nakamaye
, Mihnea Popa

Mathematics

University of Illinois at Chicago
University of Michigan, Ann Arbor

Research output: Contribution to journal › Article › peer-review

157 Scopus citations

Abstract

The purpose of this paper is to define and study systematically some asymptotic invariants associated to base loci of line bundles on smooth projective varieties. The functional behavior of these invariants is related to the set-theoretic behavior of base loci.

Original language	English
Pages (from-to)	1701-1734
Number of pages	34
Journal	Annales de l'Institut Fourier
Volume	56
Issue number	6
DOIs	https://doi.org/10.5802/aif.2225
State	Published - 2006

Keywords

Asymptotic invariants
Base loci
Multiplier ideals

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10.5802/aif.2225

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title = "Asymptotic invariants of base loci",

abstract = "The purpose of this paper is to define and study systematically some asymptotic invariants associated to base loci of line bundles on smooth projective varieties. The functional behavior of these invariants is related to the set-theoretic behavior of base loci.",

keywords = "Asymptotic invariants, Base loci, Multiplier ideals",

author = "Lawrence Ein and Robert Lazarsfeld and Mircea Musta{\c t}ǎ and Michael Nakamaye and Mihnea Popa",

year = "2006",

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language = "English",

volume = "56",

pages = "1701--1734",

journal = "Annales de l'Institut Fourier",

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T1 - Asymptotic invariants of base loci

AU - Ein, Lawrence

AU - Lazarsfeld, Robert

AU - Mustaţǎ, Mircea

AU - Nakamaye, Michael

AU - Popa, Mihnea

PY - 2006

Y1 - 2006

N2 - The purpose of this paper is to define and study systematically some asymptotic invariants associated to base loci of line bundles on smooth projective varieties. The functional behavior of these invariants is related to the set-theoretic behavior of base loci.

AB - The purpose of this paper is to define and study systematically some asymptotic invariants associated to base loci of line bundles on smooth projective varieties. The functional behavior of these invariants is related to the set-theoretic behavior of base loci.

KW - Asymptotic invariants

KW - Base loci

KW - Multiplier ideals

UR - https://www.scopus.com/pages/publications/34249060909

U2 - 10.5802/aif.2225

DO - 10.5802/aif.2225

M3 - Article

AN - SCOPUS:34249060909

SN - 0373-0956

VL - 56

SP - 1701

EP - 1734

JO - Annales de l'Institut Fourier

JF - Annales de l'Institut Fourier

IS - 6

ER -

Asymptotic invariants of base loci

Abstract

Keywords

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